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Popular >

simplify (sqrt(e^x-1))^4

Solution

simplify

(e^{x} - 1)^{4}

Solution

(e^{x} - 1)^{2}

Solution steps

(e^{x} - 1)^{4}

Apply radical rule:

a = a^{\frac{1}{2}}

= ((e^{x} - 1)^{\frac{1}{2}})^{4}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= (e^{x} - 1)^{\frac{1}{2} \cdot 4}

\frac{1}{2} \cdot 4 = 2

= (e^{x} - 1)^{2}

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Frequently Asked Questions (FAQ)

What is (sqrt(e^x-1))^4 ?
The solution to (sqrt(e^x-1))^4 is (e^x-1)^2